# GroupElementPosition

GroupElementPosition[group,g]

returns the position of the element g in the list of elements of group.

GroupElementPosition[group,{g1,,gn}]

returns the list of positions of the elements g1,,gn in group.

# Details and Options

• Each position is an integer between 1 and the order of the group.
• The positions of elements in a permutation group are by default based on the standard ordering of their images.
• The ordering of elements in a permutation group can be controlled by setting the GroupActionBase option.

# Examples

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## Basic Examples(1)

Find positions of group elements in a group. The identity is always the first element:

## Scope(2)

Position of a permutation in the list of elements of a group:

List of positions of several elements in a group:

## Options(1)

### GroupActionBase(1)

Change the ordering of the permutations in a group by specifying a base:

## Properties & Relations(1)

GroupElements performs the inverse operation for a list of elements:

## Possible Issues(1)

For an element not present in the group the input is returned unevaluated:

Wolfram Research (2010), GroupElementPosition, Wolfram Language function, https://reference.wolfram.com/language/ref/GroupElementPosition.html.

#### Text

Wolfram Research (2010), GroupElementPosition, Wolfram Language function, https://reference.wolfram.com/language/ref/GroupElementPosition.html.

#### CMS

Wolfram Language. 2010. "GroupElementPosition." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GroupElementPosition.html.

#### APA

Wolfram Language. (2010). GroupElementPosition. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GroupElementPosition.html

#### BibTeX

@misc{reference.wolfram_2022_groupelementposition, author="Wolfram Research", title="{GroupElementPosition}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/GroupElementPosition.html}", note=[Accessed: 06-June-2023 ]}

#### BibLaTeX

@online{reference.wolfram_2022_groupelementposition, organization={Wolfram Research}, title={GroupElementPosition}, year={2010}, url={https://reference.wolfram.com/language/ref/GroupElementPosition.html}, note=[Accessed: 06-June-2023 ]}